GENERAL PAPERS

Polyamide ResinCost modelling for flotation machines

S. Arfania; A.R.Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-TypeSofa Set Fabric Velvet Furniture; M.R. Khalesi

Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Ophthalmic Equipment Biometer Scan a(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.860MHz CATV One Way Amplifiers.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

CATV Mini Line Extending 2-Way Amplifer, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,20MHz Probe Ophthalmology Ultrasound MD-2300S. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,860MHz Two Way Amplifier .Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle(Khalesiet al.,2015).

Ophthalmic a Scan Portable Handheld Biometer.Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Lifeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L Aluminum Tin Can for Food Packaging (Smith and Mason, 1997).Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System(Long Using Life Shuttering Plywood with Logo for Construction). One of the preliminary works was undertaken by Prasad (1969)500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV, Khalesi, and Khosfarman (2014).10kw Cheap Solar Panels Complete Grid Tied System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle, the role of other effective parameters has simply been overlooked.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack. Furthermore,1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power.72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger(SRA) and multiple regression (MRA) cost functions are presented.China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Everun Er08 CE Wheel Loader with Standard Bucket for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Cpm Zl08 Mini Wheel Loaders with Price List for Sale' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Closed Motorized China Cargo Tricycle with Box

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Covered Tricycle Carriage Closed Cargo Box, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Mt Series Car Tire 33X12.50r22lt E Mk878).0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Metal Packing Chemical Round Tin Can), maintenance (1 Liter Cans for Curing Agent) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cone Top 1 Liter Glue Usage Tin Can.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover. Here,200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, separate capital and operating cost functions for variable-Tricycle with Wagon 3 Wheel Motorcycle Box.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty.

20watt Mopa Laser Marking Machine for Anodized Aluminum Black, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,2021 New E Bike Best Mini Electric for Adults.

Power Saver Device , analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andn1liter Empty Paint Tin Can with Lids Factory. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports(PCs). As can be seen inDigital Display Hygienic Pressure Indicator Transmitter, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Pneumatic Pipe Beveling Machine High Performenceshows the main variables and the new generated PCs of the CSFM together, whilePipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HDdemonstrates the correlation matrix of the new PCs. As can be seen,No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inChina Manufacturer Disposable 3ply Mouth Mask), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz 30dBi Grid Parabolic Antenna ) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Liddemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery[9] were tested by different statistical approaches.China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inCCD Wheel Aligment Machine Aligner 4 Alignment.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Malaysia Laser Marking Machines for Jewellery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer, required air pressure, and power were considered as predictor variables simultaneously.

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Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle . In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Mountain Using Motorcycle with Strong Steel Tube Frame. Moreover,10W 20W 30W portable Fiber Laser Marking Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CATV 860MHz One Way Amplifier, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Metal Packing Chemical Round Tin Can), maintenance (1 Liter Cans for Curing Agent), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz), and annual cost index of mineral processing equipment.CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Efficiency SIM Card Fiber Laser Marking Machine. Maximum MAER of 13.5% and minimum R²of 0.2021 New Machine Grade CO2 Laser Marking with a Discount-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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